Questions tagged [optimal-filter]
The optimal-filter tag has no usage guidance.
11
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Given the following signalling elements design the optimum receiver?
Given the following signaling elements,
\begin{align}
g_1(t) &= A \quad \text{for} \quad -T/4 < t \leq 0 \\
g_2(t) &= A \quad \text{for} \quad 0 < t \leq T/4 \\
g_3(t) &= A \quad \...
- 135
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Constrained Least Squares Filter Design
I would like to design a complex FIR filter, $h$, for a known signal that produces a desired output: $d$ = $s*h$ (where $s$ is my signal and $d$ is the desired filter output). Let $S$ be the ...
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How to derive the "well-known" solution to Unconstrained Array Gain?
Can someone point me to a webpage or other resource that shows how to analytically solve the beamformer Unconstrained Array Gain expression in Henry Cox's 1987 IEEE paper "Robust Adaptive ...
- 101
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Degradation of BPSK system using matched filter with a timing error
Given a BPSK system with:
\begin{align*}
s_1(t) &= Au_T(t) \\
s_2(t) &= -Au_T(t) \\
\end{align*}
where $u_T(t)=1$ for $0<t<T$, and zero otherwise. Given $A > 0$, and Gaussian white ...
- 13
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62
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Optimal receiver for a binary system employing waveform $s=A\cos^{2}(\pi f_c t \pm \alpha)$
I want to design an optimal (minimizing error probability) receiver for system of two waveforms (with $0<\alpha<\frac{\pi}{2}$):
\begin{align}
s_1 &=A\cos^{2}(\pi f_c t + \alpha)\\
s_2 &=...
- 13
2
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1
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138
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Minimizing Time Sidelobes with Pulse Compression
I am trying to compute a compression filter function to minimize the error from a a desired pulse compression result.
The usual approach to doing this is to minimize the RMS error of the the ...
- 265
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Determining signal using Optimal receiver(Matched filter)
I'm given a signal that has been passed through a noisy channel using binary polar signaling with a pulse value of p(t) = 1. The receiver is coherent and the length of each pulse (in samples) is 10 ...
6
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Complex Least Squares Approximation
In the case of frequency domain FIR filter design, the error function given by :
$$E(\omega)=H(e^{j\omega})-D(e^{j\omega}) \tag{1}$$
is a linear function with respect to the unknown filter ...
- 161
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The grid frequencies In the design of a digital filter
I want to find many difference 'h' with same group delay and length filter using this code :
https://gist.github.com/mattdsp/17f508d2b368db61f47689e4622d8841/c1518f22a5aa451951601b56c5d9f72743868bfe ...
- 161
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Extended Kalman Filter in mechanics, electronics and hydraulics?
Extended Kalman Filter is most used in GPS and navigation systems. But how much do I gain to switch to Extended Kalman Filter to the linjear Kalman Filter if I do LQGI controller for the industry?
...
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What is the optimal filter?
I am currently working on a problem on filtering. In fact, let's suppose a signal that is expressed as :
$r(t) = z(t) + x_i(t)$, where $z(t)$ is a smooth function and $x_i(t)$ is white Gaussian noise. ...
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